Due to the Corona virus education methods or examination can deviate. For the latest news please check the course page in Brightspace.


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Analyse 1 NA


Admission Requirements



This course deals with the elements of differential and integral calculus of functions of one variable. The aim of the course is to familiarise students with the basic concepts of the theory and to provide them with some useful background for applications in phyics/astronomy and other areas of mathematics.

Course Objectives

After finishing this course you have an operational knowledge of the following concepts and you are able to make (simple) problems concerning the following subjects: • complex numbers

  • polynomial equations

  • limits • continuity and differentiability • lineair approximations of functions

  • Taylor polynomials • order symbols (small o- and big-O-notation) • integration techniques and applications

  • convergence of sequences and series


For detailed information go to Timetable in Brightspace

Mode of instruction

See Brightspace

Assessment Method

  • written exam with open questions

  • (optional) homework

The exam consists of two partial exams. The grade of the first partial counts for 30% and the grade of the second partial counts for 70% of the final grade.

By handing in homework (optional!) a bonus of 0.5 maximum can be earned that will be added to the total grade of the exam. This bonus is only given if the total grade of the exam is at least 5.5.

In the same academic year a retake exam will be organised. This will be in the form of a single exam about the entire course matter. The homework bonus grade and the partial grades are not valid for the retake.


Instructions and course material can be found on Brightspace. Registration for Brightspace occurs automatically when students enroll in uSis via uSis by registration for a class activity using a class number

Reading list

Robert A. Adams and Christopher Essex: Calculus – A Complete Course (9th edition), Pearson Education, 2016.


Dr. Robert-Jan Kooman kooman@math.leidenuniv.nl Contactgegevens docent: Dr. R.J. Kooman


Students who are doing a double propedeuse Natuurkunde met Wiskunde of Sterrenkunde met Wiskunde, take the course Analyse 1 with Mathematics.